The relationship between the current and the magnetic field can be expressed by the right-hand grip rule.

The direction of the magnetic field is tangential to a circle centered on the conductor and lying in a plane parallel to its center line.

The field can be represented by straight lines emanating from the conductor in a all directions.

The direction of the magnetic field is parallel to the flow of current through the conductor

The direction of the magnetic field is tangential to a circle centered on the conductor and lying in a plane normal to its center line.